30% of all college students major in STEM (Science, Technology, Engineering, and Math). If 38 college students are randomly selected, find the following probabilities. Round answers to 4 places where possible. (a) Exactly 10 of them major in STEM. 0.1259 x (b) At most 12 of them major in STEM. 0.9994 X (c) At least 12 of them major in STEM. 0.0294 X (d) Between 8 and 12 (including 8 and 12) of them major in STEM. 0.0993 X
30% of all college students major in STEM (Science, Technology, Engineering, and Math). If 38 college students are randomly selected, find the following probabilities. Round answers to 4 places where possible. (a) Exactly 10 of them major in STEM. 0.1259 x (b) At most 12 of them major in STEM. 0.9994 X (c) At least 12 of them major in STEM. 0.0294 X (d) Between 8 and 12 (including 8 and 12) of them major in STEM. 0.0993 X
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![### Probability of College Students Majoring in STEM
Given that 30% of all college students major in STEM (Science, Technology, Engineering, and Math), the probabilities for various scenarios involving 38 randomly selected college students can be calculated as follows. Round your answers to 4 decimal places where possible.
1. **Exactly 10 of them major in STEM:**
\[
\text{Probability} = 0.1259 \, \text{(Incorrect)}
\]
2. **At most 12 of them major in STEM:**
\[
\text{Probability} = 0.9994 \, \text{(Incorrect)}
\]
3. **At least 12 of them major in STEM:**
\[
\text{Probability} = 0.0294 \, \text{(Incorrect)}
\]
4. **Between 8 and 12 (including 8 and 12) of them major in STEM:**
\[
\text{Probability} = 0.0993 \, \text{(Incorrect)}
\]
The red crosses (✖) beside each probability indicate that the answers provided are incorrect. This context implies that further review or correction of the probabilities is required to ensure accurate results.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F82a8ebfc-76c9-419b-9ea9-29a90be836d5%2F117a0027-c2b9-40b5-9a8e-da0b20e324ab%2F41nxpi6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Probability of College Students Majoring in STEM
Given that 30% of all college students major in STEM (Science, Technology, Engineering, and Math), the probabilities for various scenarios involving 38 randomly selected college students can be calculated as follows. Round your answers to 4 decimal places where possible.
1. **Exactly 10 of them major in STEM:**
\[
\text{Probability} = 0.1259 \, \text{(Incorrect)}
\]
2. **At most 12 of them major in STEM:**
\[
\text{Probability} = 0.9994 \, \text{(Incorrect)}
\]
3. **At least 12 of them major in STEM:**
\[
\text{Probability} = 0.0294 \, \text{(Incorrect)}
\]
4. **Between 8 and 12 (including 8 and 12) of them major in STEM:**
\[
\text{Probability} = 0.0993 \, \text{(Incorrect)}
\]
The red crosses (✖) beside each probability indicate that the answers provided are incorrect. This context implies that further review or correction of the probabilities is required to ensure accurate results.
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